GCF of 5884/920, 3966/4385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5884/920, 3966/4385 i.e 2/806840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5884/920, 3966/4385.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5884/920,3966/4385?
Given fractions are 5884/920,3966/4385
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5884/920,3966/4385, numerators are 5884,3966
Denominators are 920,4385
The GCF of 5884,3966 is 2 .
LCM of 920,4385 is 806840.
The greatest common factor of 5884/920,3966/4385 = [GCF of 5884,3966]/[LCM of 920,4385]= 2/806840
Therefore, the GCF of 5884/920,3966/4385 is 2/806840.
To find the highest common factor of 5884,3966, we have to find the factors of both numbers and list the highest common factor.
The factors of 5884 are 1, 2, 4, 1471, 2942, 5884
The factors of 3966 are 1, 2, 3, 6, 661, 1322, 1983, 3966
The HCF of 5884,3966 is 2.
Lets's calculate GCF of 5884,3966
| 2 | 5884, 3966 |
| 2942, 1983 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5884,3966 By Matching Biggest Common Factor Method
Now, list down the factors of 5884
:1,2,4,1471,2942,5884
Now, list down the factors of 3966
:1,2,3,6,661,1322,1983,3966
Greatest Common Factor
We found the factors 5884,3966 . The biggest common factor number is the GCF number.
So the greatest common factor 5884,3966 is 2.
Lets's calculate LCM of 920,4385
| 5 | 920, 4385 |
| 184, 877 |
∴ So the LCM of the given numbers is 5 x 184 x 877 = 806840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/806840
Therefore, the GCF of Fractions 5884/920,3966/4385 is 2/806840
Least Common Multiple of 920,4385 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 920,4385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,4385) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(920,4385) x common factors =5 x 1 = 5
LCM(920,4385) = ( 920 × 4385 ) / 5
LCM(920,4385) = 4034200 / 5
LCM(920,4385) = 806840
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5884/920, 3966/4385
1. What is the HCF of 5884,3966?
The HCF of 5884,3966 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5884/920, 3966/4385?
Answer: GCF of Numerators as per given numbers 5884/920, 3966/4385 is
GCF of Numerators i.e. for 5884,3966 is 2
LCM of denominators i.e. for 920,4385 is 806840.
Thus, GCF of Fractions is 2/806840.Finally, GCF of Fractions for 5884/920, 3966/4385 is 2/806840.